The 24-year-old centre-back is among Spurs boss Mauricio Pochettino’s top targets for the summer transfer window, in which Kevin Wimmer is expected to depart White Hart Lane.
Maguire’s contract expires at the end of next season, meaning he could be a more affordable option than others on Spurs’ shortlist, which includes Burnley’s Michael Keane and Middlesbrough’s Ben Gibson.
On Saturday Maguire was one of several Hull defenders in inspired form as the Tigers took another step closer to survival with a 0-0 draw at Southampton, a result that ensured they remain two points clear of Swansea in the final relegation spot.
“That performance is no surprise to me, because he's played like that and been improving for a while now,” said Silva. “He's a very good player.
“He works hard and is understanding better what I want for the team and he's understanding better our organisation as well. He has very good skills and it's clear to me he will have a big career in the future.
“But it was not only Harry, both our centre backs have a very good relationship with the ball. I want those players to start off our play and build us up from the back.”
Spurs are not the only club tracking Maguire, who also has his admirers at fellow London side West Ham, but will hope a history of doing deals with Hull - including the sales of Ryan Mason, Tom Huddlestone and Jake Livermore - stands them in good stead.